A computer scientist is investigating the usefulness of two

A computer scientist is investigating the usefulness of two different design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are asked to code a standard function in both languages, and the time (in minutes) is recorded. The data follow:



(a) Is the assumption that the difference in coding time is normally distributed reasonable?

(b) Find a 95% confidence interval on the difference in mean coding times. Is there any indication that one design language is preferable?

Programmer Design Language 1 Design Language 2
1 17 18
2 15 14
3 21 18
4 14 11
5 18 23
6 24 21
7 16 10
8 14 13
9 21 19
10 23 24
11 13 15
12 18 20

Solution

A computer scientist is investigating the usefulness of two different design languages in improving programming tasks. Twelve expert programmers, familiar with

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